170972601338880 has 3168 divisors, whose sum is σ = 726073292206080. Its totient is φ = 37018946764800.

The previous prime is 170972601338863. The next prime is 170972601338921. The reversal of 170972601338880 is 88833106279071.

170972601338880 is a `hidden beast` number, since 1 + 7 + 0 + 97 + 260 + 133 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115288334619 + ... + 115288336101.

Almost surely, 2^{170972601338880} is an apocalyptic number.

170972601338880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170972601338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363036646103040).

170972601338880 is an abundant number, since it is smaller than the sum of its proper divisors (555100690867200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

170972601338880 is a wasteful number, since it uses less digits than its factorization.

170972601338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 170972601338880 in words is "one hundred seventy trillion, nine hundred seventy-two billion, six hundred one million, three hundred thirty-eight thousand, eight hundred eighty".